this condition as local consistency and to his condition on the priority structure as local acyclicity. We identify a … related but stronger necessary and sufficient condition (unit acyclicity) on the priority structure such that the student … local converse consistency. Interestingly, local acyclicity implies local shift-freeness and hence the student …

This paper analyzes the role of acyclicity in singleton cores. We show that the absence of simultaneous cycles is a … sufficient condition for the existence of singleton cores. Furthermore, acyclicity in the preferences of either side of the …, unique stable matching is obtained through a procedure that resembles a serial dictatorship. Thus, acyclicity generalizes the …

initially pay a transfer and keep a fraction of their realized utility. We also identify a condition called acyclicity that is …